The space of continuous periodic functions is a set of first category in \(AP(X)\)

DOI10.1155/2013/275702zbMath1276.46019OpenAlexW1982185364WikidataQ59013912 ScholiaQ59013912MaRDI QIDQ1951061

Hui-Sheng Ding, Zhe-Ming Zheng, Gaston Mandata N'Guérékata

Publication date: 29 May 2013

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/275702

zbMATH Keywords

first categoryspace of almost periodic functions

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

Almost automorphic random functions in probability ⋮ On the existence of 𝐶⁽ⁿ⁾-almost automorphic mild solutions of certain differential equations in Banach spaces

Cites Work

• \(p\)-th mean pseudo almost automorphic mild solutions to some nonautonomous stochastic differential equations
• Almost periodic differential equations
• On almost periodic solutions of the differential equation \(x(t)=Ax(t)\) in Hilbert spaces
• On the asymptotc behaviour of the spectral function and discrete spectrum of the Laplace operator on a fundamental domain of Lobachevsky's plane
• Almost automorphic and almost periodic dynamics in skew-product semiflows
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